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Article Dans Une Revue Mathematical Research Letters Année : 2014

Higher preprojective algebras and stably Calabi-Yau properties

Claire Amiot
Steffen Oppermann
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Résumé

In this paper, we give sufficient properties for a finite dimensional graded algebra to be a higher preprojective algebra. These properties are of homological nature, they use Gorensteiness and bimodule isomorphisms in the stable category of Cohen-Macaulay modules. We prove that these properties are also necessary for $3$-preprojective algebras using \cite{Kel11} and for preprojective algebras of higher representation finite algebras using \cite{Dugas}.
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Dates et versions

hal-00847027 , version 1 (22-07-2013)
hal-00847027 , version 2 (18-04-2014)

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Citer

Claire Amiot, Steffen Oppermann. Higher preprojective algebras and stably Calabi-Yau properties. Mathematical Research Letters, 2014, 21 (4), pp.617-647. ⟨hal-00847027v2⟩

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